The singular ideal and radicals

Journal of the Australian Mathematical Society

Miguel Ferrero¹ 

[1] Edmund R. Puczyłowski

关键词: Primary 16D80;    16N60;    16N80;   

DOI  :  10.1017/S1446788700001695

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Some properties of the singular ideal are established. In particular its behaviour when passing to one-sided ideals is studied. Obtained results are applied to study some radicals related to the singular ideal. In particular a radical S such that for every ring R, S(R) and R/S(R) are close to being a singular ring and a non-singular ring, respectively, is constructed.

【 授权许可】

Unknown